arXiv (All)
open access
Positive bisectional curvature, Ricci mass, and the fundamental group
We prove the finiteness of the integral of the top power of the Ricci form on a complete, noncompact Kähler manifold with positive bisectional curvature. This settles a special case of a conjecture of Yau and Yang. An immediate corollary is the finiteness of the fundamental group of such manifolds.
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Ricci pinching on complete Kahler manifolds#1328153
- Kählerity of complete almost-Kähler gradient shrinking Ricci solitons#820845
- A tentacle example for the stability of the positive mass theorem for Kähler manifolds#1116714
- Balanced Bismut torsion-parallel fourfolds with constant holomorphic sectional curvature#1070481
- A positively curved metric on the Gromoll-Meyer sphere#999013
Record · ID 1234356
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive